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    Statistics - Multiple Choice Questions

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    1. On an exam with s = 6, Tom's score of X = 54 corresponds to z = +1.00. The mean for the exam must be m = 60. (Points: 1)
    True
    False

    2. A population with m = 45 and s = 8 is standardized to create a new distribution with m = 100 and s = 20. In this transformation, a score of X = 41 from the original distribution will be transformed into a score of X = 110. (Points: 1)
    True
    False

    3. For a sample with a mean of M = 50 and a standard deviation of s = 10, a z-score of
    z = +2.00 corresponds to X = 70. (Points: 1)
    True
    False

    4. A population with m = 85 and s = 12 is transformed into z-scores. After the transformation, what are the values for the mean and standard deviation for the population of z-scores? (Points: 1)
    m = 85 and s = 12
    m = 0 and s = 12
    m = 85 and s = 1
    m = 0 and s = 1

    5. For a population with a mean of m = 100, what is the z-score corresponding to a score that is located 10 points below the mean? (Points: 1)
    +1
    - 1
    - 10
    cannot answer without knowing the standard deviation

    6. The value for a probability can never be less than zero, unless you have made a computational error. (Points: 1)
    True
    False

    7. What proportion of a normal distribution is located in the tail beyond a z-score of z = - 1.00? (Points: 1)
    0.8413
    0.1587
    -0.3413
    -0.1587

    8. A vertical like is drawn through a normal distribution at z = +0.25. The line separates the distribution into two sections. What proportion of the distribution is in the smaller section? (Points: 1)
    25%
    40.13%
    59.87%
    75%

    9. What proportion of a normal distribution corresponds to z-scores greater than +1.04? (Points: 1)
    0.3508
    0.1492
    0.6492
    0.8508

    10. In any normal distribution, what are the z-score boundaries for the middle 50% of the distribution? (Points: 1)
    z = 0.67
    z = 0.25
    z = 0.50
    z = 0.75

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    Solution Summary

    This solution is comprised of detailed step-by-step calculations and analysis of the given problems related to Statistics and provides students with a clear perspective of the underlying concepts.

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